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Finding the Fourth Proportional to 23,714, 32,725.64 and 13,103.88

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Solution

The fourth proportional to 23,714, 32,725.64 and 13,103.88 is: 18,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714 : 32,725.64 = 13,103.88 : x
  2. Step 2: Convert to fraction form
    23,714/32,725.64 = 13,103.88/x
  3. Step 3: Cross multiply
    23,714x = 32,725.64 × 13,103.88
  4. Step 4: Simplify right side
    23,714x = 428,832,859.48
  5. Step 5: Solve for x
    x = 428,832,859.48/23,714
  6. Step 6: Final answer
    x = 18,083.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.